supported by the National Natural Science Foundation of China(Grant No.12101222);National Natural Science Foundation of China(Grant No.12271041);Scientific Research Fund of Hunan Provincial Education Department(Grant No.23B0458);supported by the Scientific Research Fund of Hunan Provincial Education Department(Grant No.22B0155);partly supported by the National Key R&D Program of China(Grant No.2020YFA0712900)。
Let T be a bilinear vector-valued singular integral operator satisfies some mild regularity conditions,which may not fall under the scope of the theory of standard Calder¬on–Zygmund classes.For anyb^(→)=(b_(1),b_(2)...
Supported by the National Natural Science Foundation of China(Grant No.12201234);the Natural Science Foundation of Anhui Province of China(Grant No.2008085MA07)。
Let B be a unit ball in R^(2),W_(0)^(1,2)(B)be the standard Sobolev space.For anyϵ>0,de Figueiredo,doÓ,dos Santons,Yang and Zhu proved the existence of extremals of a Trudinger-Moser inequality in the unit ball.Preci...
the National Science Foundation of China(NSFC)under grant No 62274118;the Singapore National Research Foundation Investigatorship under Grant No NRF-NRFI08-2022-0009;Singapore Ministry of Education under its AcRF Tier 2 Grant No MOE-T2EP50220-0001;the SUSTech-NUS Joint Research Program.
The discrete preparation of functional layers followed by lamination for all-organic active-matrix organic light-emitting diodes enables an ultrahigh aperture ratio and reliable conformability,promising significant po...
supported by the National Key Research and Development Program of China(32172069).
Grain size is one of the determinants of grain yield,and identifying the genetic loci that control grain size will be helpful for increasing grain yield.In our previous study,a quantitative trait locus(QTL)for grain l...
supported by the Natural Science Foundation of China(12201234);the Natural Science Foundation of Anhui Province of China(2008085MA07).
Motivated by a recent work of Wang-Yang[19],we study the compactness of extremals[ug]for singular Hardy-Trudinger-Moser inequalities due to Hou[24].In particular,by the method of blow-up analysis,we conclude that,up t...
In this paper,we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock spaces,and the compactness of the finite sum of two dual Toeplitz oper...
For analytic functions u,ψin the unit disk D in the complex plane and an analytic self-mapφof D,we describe in this paper the boundedness and compactness of product type operators T_(u,ψ,φ)f(z)=u(z)f(φ(z))+ψ(z)...
supported by National Natural Science Foundation of China(Grant No.11901047);the Fundamental Research Funds for the Central Universities(Grant No.500421126).
In this paper,we consider the boundedness and compactness of the multi-linear singular integral operator on Morrey spaces,which is defined by T_(A)f(x)=p.v.∫_(R^(n))Ω(x-y)/|x-y|^(n+1)R(A;x,y)f(y)dy,where R(A;x,y)=A(...
the key project of the National Social Science Foundation(No.20&ZD168);the National Natural Science Foundation of China(No.71973102)for research grants.
This paper constructs a general equilibrium spatial urban model and measures city geometric compactness using the patch-shape index based on evidence from satellite imagery and basic vector maps of China.It adopts the...
the support from the Key Program Grant from National Natural Science Foundation of China (52039005);Grant from State Key Laboratory of Hydroscience and Engineering (2022-KY-01).
Over the past few decades,one of the most significant advances in dam construction has been the inven-tion of the rock-filled concrete(RFC)dam,which is constructed by pouring high-performance self-compacting concrete(...